Package edu.jas.poly
Class QuotientRing<C extends RingElem<C>>
java.lang.Object
edu.jas.poly.QuotientRing<C>
- All Implemented Interfaces:
AbelianGroupFactory<Quotient<C>>
,ElemFactory<Quotient<C>>
,MonoidFactory<Quotient<C>>
,QuotPairFactory<C,
,Quotient<C>> RingFactory<Quotient<C>>
,Serializable
public class QuotientRing<C extends RingElem<C>>
extends Object
implements RingFactory<Quotient<C>>, QuotPairFactory<C,Quotient<C>>
Quotient ring factory using RingElem and RingFactory. Objects of this class
are immutable.
- See Also:
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Field Summary
FieldsModifier and TypeFieldDescriptionprivate static final boolean
private static final org.apache.logging.log4j.Logger
final RingFactory
<C> Ring factory of this factory. -
Constructor Summary
ConstructorsConstructorDescriptionQuotientRing
(RingFactory<C> r) The constructor creates a QuotientRing object from a RingFactory. -
Method Summary
Modifier and TypeMethodDescriptionCharacteristic of this ring.Copy Quotient element c.Create from numerator.Create from numerator, denominator pair.boolean
Comparison with any other object.fromInteger
(long a) Get a Quotient element from a long value.Get a Quotient element from a BigInteger value.Get a list of the generating elements.getONE()
Get the one element.getZERO()
Get the zero element.int
hashCode()
Hash code for this quotient ring.boolean
Query if this ring is associative.boolean
Query if this ring is commutative.boolean
isField()
Query if this ring is a field.boolean
isFinite()
Is this structure finite or infinite.Factory for base elements.Parse Quotient from Reader.Parse Quotient from String.random
(int n) Quotient random.Quotient random.toScript()
Get a scripting compatible string representation.toString()
Get the String representation as RingFactory.Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
Methods inherited from interface edu.jas.structure.ElemFactory
valueOf
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Field Details
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logger
private static final org.apache.logging.log4j.Logger logger -
debug
private static final boolean debug -
ring
Ring factory of this factory.
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Constructor Details
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QuotientRing
The constructor creates a QuotientRing object from a RingFactory.- Parameters:
r
- ring factory.
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Method Details
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pairFactory
Factory for base elements.- Specified by:
pairFactory
in interfaceQuotPairFactory<C extends RingElem<C>,
Quotient<C extends RingElem<C>>>
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create
Create from numerator. -
create
Create from numerator, denominator pair. -
isFinite
public boolean isFinite()Is this structure finite or infinite.- Specified by:
isFinite
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- true if this structure is finite, else false.
- See Also:
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copy
Copy Quotient element c.- Specified by:
copy
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
c
-- Returns:
- a copy of c.
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getZERO
Get the zero element.- Specified by:
getZERO
in interfaceAbelianGroupFactory<C extends RingElem<C>>
- Returns:
- 0 as Quotient.
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getONE
Get the one element.- Specified by:
getONE
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- 1 as Quotient.
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generators
Get a list of the generating elements.- Specified by:
generators
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- list of generators for the algebraic structure.
- See Also:
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isCommutative
public boolean isCommutative()Query if this ring is commutative.- Specified by:
isCommutative
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- true if this ring is commutative, else false.
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isAssociative
public boolean isAssociative()Query if this ring is associative.- Specified by:
isAssociative
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- true if this ring is associative, else false.
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isField
public boolean isField()Query if this ring is a field.- Specified by:
isField
in interfaceRingFactory<C extends RingElem<C>>
- Returns:
- true.
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characteristic
Characteristic of this ring.- Specified by:
characteristic
in interfaceRingFactory<C extends RingElem<C>>
- Returns:
- characteristic of this ring.
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fromInteger
Get a Quotient element from a BigInteger value.- Specified by:
fromInteger
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
a
- BigInteger.- Returns:
- a Quotient.
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fromInteger
Get a Quotient element from a long value.- Specified by:
fromInteger
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
a
- long.- Returns:
- a Quotient.
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toString
Get the String representation as RingFactory. -
toScript
Get a scripting compatible string representation.- Specified by:
toScript
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- script compatible representation for this ElemFactory.
- See Also:
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equals
Comparison with any other object. -
hashCode
public int hashCode()Hash code for this quotient ring. -
random
Quotient random.- Specified by:
random
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
n
- such that 0 ≤ v ≤ (2n-1).- Returns:
- a random residue element.
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random
Quotient random.- Specified by:
random
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
n
- such that 0 ≤ v ≤ (2n-1).rnd
- is a source for random bits.- Returns:
- a random residue element.
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parse
Parse Quotient from String.- Specified by:
parse
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
s
- String.- Returns:
- Quotient from s.
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parse
Parse Quotient from Reader.- Specified by:
parse
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
r
- Reader.- Returns:
- next Quotient from r.
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